An optimal placement of protective devices could increase the reliability and quality level of a distribution network. An innovative mixed-integer nonlinear programming model is proposed in this paper to find the type, optimal siting, and number of protective devices to be accurately installed in distribution networks. The customer outage and protective devices costs are considered to derive a value-based reliability equation. To ensure the effectiveness of the proposed formulation economic and technical constraints is considered. Further, this paper aims at aiding decision-makers in providing appropriate protective device allocation by minimizing the expected interruption cost index. Case studies are employed to demonstrate the reliability optimization of a test network and a typical real-size network in which the several cost constraints and protection schemes are assumed to extract the results. Accuracy and effectiveness of the proposed method are assessed and sensitivities analysis is carried out.

中文翻译：

---

配电网可靠性优化的混合整数非线性规划公式

保护设备的最佳放置可以提高配电网络的可靠性和质量水平。本文提出了一种创新的混合整数非线性规划模型，以找到要在配电网中准确安装的保护装置的类型，最优选址和数量。客户停机和保护设备的成本被认为是一个基于价值的可靠性方程。为了确保所提出的配方的有效性，考虑了经济和技术限制。此外，本文旨在通过最小化预期的中断成本指标，帮助决策者提供适当的保护设备分配。通过案例研究来证明测试网络和典型实际网络的可靠性优化，其中假设了几种成本约束和保护方案来提取结果。评估了所提方法的准确性和有效性，并进行了敏感性分析。